TSTP Solution File: SEU188+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SEU188+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Tue Jul 19 12:00:50 EDT 2022

% Result   : Theorem 30.05s 29.47s
% Output   : Proof 30.05s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SEU188+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.14  % Command  : leancop_casc.sh %s %d
% 0.13/0.35  % Computer : n006.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sun Jun 19 02:15:40 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 30.05/29.47  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 30.05/29.48  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 30.05/29.48  
% 30.05/29.48  %-----------------------------------------------------
% 30.05/29.48  fof(t64_relat_1, conjecture, ! [_40904] : (relation(_40904) => relation_dom(_40904) = empty_set | relation_rng(_40904) = empty_set => _40904 = empty_set), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t64_relat_1)).
% 30.05/29.48  fof(fc1_xboole_0, axiom, empty(empty_set), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc1_xboole_0)).
% 30.05/29.48  fof(fc5_relat_1, axiom, ! [_41220] : (~ empty(_41220) & relation(_41220) => ~ empty(relation_dom(_41220))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc5_relat_1)).
% 30.05/29.48  fof(fc6_relat_1, axiom, ! [_41385] : (~ empty(_41385) & relation(_41385) => ~ empty(relation_rng(_41385))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc6_relat_1)).
% 30.05/29.48  fof(t8_boole, axiom, ! [_41563, _41566] : ~ (empty(_41563) & (! _41563) = _41566 & empty(_41566)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t8_boole)).
% 30.05/29.48  
% 30.05/29.48  cnf(1, plain, [-(relation(24 ^ []))], clausify(t64_relat_1)).
% 30.05/29.48  cnf(2, plain, [24 ^ [] = empty_set], clausify(t64_relat_1)).
% 30.05/29.48  cnf(3, plain, [-(relation_dom(24 ^ []) = empty_set), -(relation_rng(24 ^ []) = empty_set)], clausify(t64_relat_1)).
% 30.05/29.48  cnf(4, plain, [_12127 = _12172, -(_12172 = _12127)], theory(equality)).
% 30.05/29.48  cnf(5, plain, [-(_12406 = _12517), _12406 = _12462, _12462 = _12517], theory(equality)).
% 30.05/29.48  cnf(6, plain, [-(empty(_13555)), _13506 = _13555, empty(_13506)], theory(equality)).
% 30.05/29.48  cnf(7, plain, [-(empty(empty_set))], clausify(fc1_xboole_0)).
% 30.05/29.48  cnf(8, plain, [empty(relation_dom(_21845)), -(empty(_21845)), relation(_21845)], clausify(fc5_relat_1)).
% 30.05/29.48  cnf(9, plain, [empty(relation_rng(_22167)), -(empty(_22167)), relation(_22167)], clausify(fc6_relat_1)).
% 30.05/29.48  cnf(10, plain, [empty(_25562), -(_25562 = _25615), empty(_25615)], clausify(t8_boole)).
% 30.05/29.48  
% 30.05/29.48  cnf('1',plain,[-(relation_dom(24 ^ []) = empty_set), -(relation_rng(24 ^ []) = empty_set)],start(3)).
% 30.05/29.48  cnf('1.1',plain,[relation_dom(24 ^ []) = empty_set, -(empty_set = relation_dom(24 ^ []))],extension(4,bind([[_12172, _12127], [empty_set, relation_dom(24 ^ [])]]))).
% 30.05/29.48  cnf('1.1.1',plain,[empty_set = relation_dom(24 ^ []), -(empty_set = 24 ^ []), relation_dom(24 ^ []) = 24 ^ []],extension(5,bind([[_12406, _12462, _12517], [empty_set, relation_dom(24 ^ []), 24 ^ []]]))).
% 30.05/29.48  cnf('1.1.1.1',plain,[empty_set = 24 ^ [], -(24 ^ [] = empty_set)],extension(4,bind([[_12172, _12127], [24 ^ [], empty_set]]))).
% 30.05/29.48  cnf('1.1.1.1.1',plain,[24 ^ [] = empty_set],extension(2)).
% 30.05/29.48  cnf('1.1.1.2',plain,[-(relation_dom(24 ^ []) = 24 ^ []), empty(relation_dom(24 ^ [])), empty(24 ^ [])],extension(10,bind([[_25562, _25615], [relation_dom(24 ^ []), 24 ^ []]]))).
% 30.05/29.48  cnf('1.1.1.2.1',plain,[-(empty(relation_dom(24 ^ []))), empty_set = relation_dom(24 ^ []), empty(empty_set)],extension(6,bind([[_13555, _13506], [relation_dom(24 ^ []), empty_set]]))).
% 30.05/29.48  cnf('1.1.1.2.1.1',plain,[-(empty_set = relation_dom(24 ^ []))],reduction('1.1')).
% 30.05/29.48  cnf('1.1.1.2.1.2',plain,[-(empty(empty_set))],extension(7)).
% 30.05/29.48  cnf('1.1.1.2.2',plain,[-(empty(24 ^ [])), empty(relation_dom(24 ^ [])), relation(24 ^ [])],extension(8,bind([[_21845], [24 ^ []]]))).
% 30.05/29.48  cnf('1.1.1.2.2.1',plain,[-(empty(relation_dom(24 ^ [])))],lemmata('1.1.1.2')).
% 30.05/29.48  cnf('1.1.1.2.2.2',plain,[-(relation(24 ^ []))],extension(1)).
% 30.05/29.48  cnf('1.2',plain,[relation_rng(24 ^ []) = empty_set, -(empty_set = relation_rng(24 ^ []))],extension(4,bind([[_12172, _12127], [empty_set, relation_rng(24 ^ [])]]))).
% 30.05/29.48  cnf('1.2.1',plain,[empty_set = relation_rng(24 ^ []), -(empty_set = 24 ^ []), relation_rng(24 ^ []) = 24 ^ []],extension(5,bind([[_12406, _12462, _12517], [empty_set, relation_rng(24 ^ []), 24 ^ []]]))).
% 30.05/29.48  cnf('1.2.1.1',plain,[empty_set = 24 ^ [], -(24 ^ [] = empty_set)],extension(4,bind([[_12172, _12127], [24 ^ [], empty_set]]))).
% 30.05/29.48  cnf('1.2.1.1.1',plain,[24 ^ [] = empty_set],extension(2)).
% 30.05/29.48  cnf('1.2.1.2',plain,[-(relation_rng(24 ^ []) = 24 ^ []), empty(relation_rng(24 ^ [])), empty(24 ^ [])],extension(10,bind([[_25562, _25615], [relation_rng(24 ^ []), 24 ^ []]]))).
% 30.05/29.48  cnf('1.2.1.2.1',plain,[-(empty(relation_rng(24 ^ []))), empty_set = relation_rng(24 ^ []), empty(empty_set)],extension(6,bind([[_13555, _13506], [relation_rng(24 ^ []), empty_set]]))).
% 30.05/29.48  cnf('1.2.1.2.1.1',plain,[-(empty_set = relation_rng(24 ^ []))],reduction('1.2')).
% 30.05/29.48  cnf('1.2.1.2.1.2',plain,[-(empty(empty_set))],extension(7)).
% 30.05/29.48  cnf('1.2.1.2.2',plain,[-(empty(24 ^ [])), empty(relation_rng(24 ^ [])), relation(24 ^ [])],extension(9,bind([[_22167], [24 ^ []]]))).
% 30.05/29.48  cnf('1.2.1.2.2.1',plain,[-(empty(relation_rng(24 ^ [])))],lemmata('1.2.1.2')).
% 30.05/29.48  cnf('1.2.1.2.2.2',plain,[-(relation(24 ^ []))],extension(1)).
% 30.05/29.48  %-----------------------------------------------------
% 30.05/29.49  
% 30.05/29.49  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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